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Finding the Fourth Proportional to 13,213.20, 19,820.52 and 9,505.20

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Solution

The fourth proportional to 13,213.20, 19,820.52 and 9,505.20 is: 14,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.20 : 19,820.52 = 9,505.20 : x
  2. Step 2: Convert to fraction form
    13,213.20/19,820.52 = 9,505.20/x
  3. Step 3: Cross multiply
    13,213.20x = 19,820.52 × 9,505.20
  4. Step 4: Simplify right side
    13,213.20x = 188,398,006.70
  5. Step 5: Solve for x
    x = 188,398,006.70/13,213.20
  6. Step 6: Final answer
    x = 14,258.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.